TY - JOUR

T1 - The universe accelerated expansion using extra-dimensions with metric components found by a new equivalence principle

AU - Guendelman, E.

AU - Ruchvarger, H.

PY - 2006/12/1

Y1 - 2006/12/1

N2 - Curved multi-dimensional space-times (5D and higher) are constructed by embedding them in one higher-dimensional flat space. The condition that the embedding coordinates have a separable form, plus the demand of an orthogonal resulting space-time, implies that the curved multi-dimensional space-time has 4D de-Sitter subspaces (for constant extra-dimensions) in which the 3D subspace has an accelerated expansion. A complete determination of the curved multi-dimensional spacetime geometry is obtained provided we impose a new type of "equivalence principle", meaning that there is a geodesic which from the embedding space has a rectliniar motion. According to this new equivalence principle, we can find the extra-dimensions metric components, each curved multi-dimensional spacetime surface's equation, the energy-momentum tensors and the extra-dimensions as functions of a scalar field. The generic geodesic in each 5D spacetime are studied: they include solutions where particle's motion along the extra-dimension is periodic and the 3D expansion factor is inflationary (accelerated expansion). Thus, the 3D subspace has an accelerated expansion.

AB - Curved multi-dimensional space-times (5D and higher) are constructed by embedding them in one higher-dimensional flat space. The condition that the embedding coordinates have a separable form, plus the demand of an orthogonal resulting space-time, implies that the curved multi-dimensional space-time has 4D de-Sitter subspaces (for constant extra-dimensions) in which the 3D subspace has an accelerated expansion. A complete determination of the curved multi-dimensional spacetime geometry is obtained provided we impose a new type of "equivalence principle", meaning that there is a geodesic which from the embedding space has a rectliniar motion. According to this new equivalence principle, we can find the extra-dimensions metric components, each curved multi-dimensional spacetime surface's equation, the energy-momentum tensors and the extra-dimensions as functions of a scalar field. The generic geodesic in each 5D spacetime are studied: they include solutions where particle's motion along the extra-dimension is periodic and the 3D expansion factor is inflationary (accelerated expansion). Thus, the 3D subspace has an accelerated expansion.

KW - Accelerated expansion

KW - Equivalence principle

KW - Extra-dimensions

KW - Multidimensional spacetimes

UR - http://www.scopus.com/inward/record.url?scp=33751500962&partnerID=8YFLogxK

U2 - 10.1007/s10701-006-9084-6

DO - 10.1007/s10701-006-9084-6

M3 - Article

AN - SCOPUS:33751500962

VL - 36

SP - 1846

EP - 1868

JO - Foundations of Physics

JF - Foundations of Physics

SN - 0015-9018

IS - 12

ER -